What is the Least Common Multiple of 70126 and 70136?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 70126 and 70136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70126 and 70136, than apply into the LCM equation.

GCF(70126,70136) = 2
LCM(70126,70136) = ( 70126 × 70136) / 2
LCM(70126,70136) = 4918357136 / 2
LCM(70126,70136) = 2459178568

Least Common Multiple (LCM) of 70126 and 70136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70126 and 70136. First we will calculate the prime factors of 70126 and 70136.

Prime Factorization of 70126

Prime Factorization of 70136

Now multiplying the highest exponent prime factors to calculate the LCM of 70126 and 70136.

LCM(70126,70136) = 2³ × 7¹ × 5009¹ × 11¹ × 797¹
LCM(70126,70136) = 2459178568